In the \({\cal N}=2\)  case, the super-Cotton tensor [1]}, [2]}
is a primary symmetric rank-2 spinor superfield
\({\cal W}_{\alpha \beta }\)  of dimension 2, which obeys the Bianchi identity [3]}
\(\nabla ^{\alpha I} {\cal W}_{\alpha \beta } = 0 ~.\) 
